HOUGHTON MIFFLIN HARCOURT Go Math! SADLIER Common Core Progress Mathematics. Common Core State Standards for Mathematics.

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1 HOUGHTON MIFFLIN HARCOURT Go Math! SADLIER Common Core Progress Mathematics Common Core State Standards for Mathematics Grade 2 Crosswalk 1. Number Concepts 2 2. Numbers to 1, Basic Facts and Relationships Digit Addition Digit Subtraction Digit Addition and Subtraction 6 7. Money and Time 7 8. Length in Customary Units 7 9. Length in Metric Units Data Geometry and Fraction Concepts 11 William H. Sadlier, Inc

2 1. Number Concepts 1.1 Hands On: Algebra Even and Odd Numbers pp Algebra: Represent Even Numbers pp Understand Place Value pp Expanded Form pp Different Way to Write Numbers pp Algebra: Different Names for Numbers pp Problem Solving: Tens and Ones pp Counting Patterns Within 100 pp Counting Patterns Within 1,000 pp Lesson 4 Odd and Even Numbers pp OA.3 2.OA.C.3 Lesson 8 Read and Write Numbers to 1,000 pp NBT.3 2.NBT.A.3 Lesson 7 Skip Count by 5s, 10s, and 100s pp NBT.2 2.NBT.A.2 Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends. Read and write numbers to 1000 using base ten numerals, number names, and expanded form. Count within 1000; skip count by 5s, 10s, and 100s. 2. Numbers to 1, Group Tens as Hundreds pp Lesson 6 Place Value: Hundreds, Tens, and Ones pp NBT.1a 2.NBT.A.1a 100 can be thought of as a bundle of ten tens called a hundred. Lesson 6 Place Value: Hundreds, Tens, and Ones pp NBT.1b 2.NBT.A.1b The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones). Copyright William H. Sadlier, Inc. All rights reserved. 2

3 2. Numbers to 1, Explore 3 Digit Numbers pp Hands On: Model 3 Digit Numbers pp Hundreds, Tens, and Ones pp Place Value to 1,000 pp Lesson 6 Place Value: Hundreds, Tens, and Ones pp NBT.1 2.NBT.A.1 Understand that the three digits of a three digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases: 2.6 Number Names pp Different Forms of Numbers pp Algebra: Different Ways to Show Numbers pp Lesson 8 Read and Write Numbers to 1,000 pp NBT.3 2.NBT.A.3 Read and write numbers to 1000 using base ten numerals, number names, and expanded form. 2.9 Count On and Count Back by 10 and 100 pp Algebra: Different Ways to Show Numbers pp Lesson 15 Mentally Add and Subtract 10 or 100 pp NBT.8 2.NBT.B.8 Mentally add 10 or 100 to a given number , and mentally subtract 10 or 100 from a given number Problem Solving: Compare Numbers pp Algebra: Compare Numbers pp Lesson 9 Compare Numbers pp NBT.4 2.NBT.A.4 Compare two three digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons. Copyright William H. Sadlier, Inc. All rights reserved. 3

4 3. Basic Facts and Relationships 3.1 Use Double Facts pp Practice Addition Facts pp Lesson 3 Addition and Subtraction Facts to 20 (fluency) pp OA.2 2.OA.B.2 Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one digit numbers. 3.3 Algebra: Make a Ten to Add pp Algebra: Add 3 Addends pp Algebra: Relate Addition and Subtraction pp Practice Subtraction Facts pp Use Ten to Subtract pp Algebra: Use Drawings to Represent Problems pp Algebra: Use Equations to Represent Problems pp Lesson 1 Problem Solving: Addition pp Lesson 2 Problem Solving: Subtraction pp OA.1 2.OA.A.1 Use addition and subtraction within 100 to solve one and two step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem Problem Solving: Equal Groups pp Algebra: Repeated Addition pp Lesson 5 Arrays pp OA.4 2.OA.C.4 Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends Digit Addition 4.1 Break Apart Ones to Add pp Use Compensation pp Break Apart Addends as Tens and Ones pp Lesson 12 Add More than Two Numbers pp NBT.6 2.NBT.B.6 Add up to four two digit numbers using strategies based on place value and properties of operations. Copyright William H. Sadlier, Inc. All rights reserved. 4

5 4. 2 Digit Addition 4.4 Model Regrouping for Addition pp Lesson 12 Add More than Two Numbers pp NBT.6 2.NBT.B.6 Lesson 10 Add Two Digit Numbers pp NBT.9 2.NBT.B Model and Record 2 Digit Addition pp Lesson 12 Add More than Two Numbers pp NBT.6 2.NBT.B.6 Add up to four two digit numbers using strategies based on place value and properties of operations. Explain why addition and subtraction strategies work, using place value and the properties of operations. Add up to four two digit numbers using strategies based on place value and properties of operations Digit Addition pp Practice 2 Digit Addtion pp Rewrite 2 Digit Addition pp Problem Solving: Addition pp Algebra: Write Equations to Represent Addition pp Algebra: Find Sums for 3 Addends pp Algebra: Find Sums for 4 Addends pp Lesson 10 Add Two Digit Numbers pp NBT.5 2.NBT.B.5 Lesson 1 Problem Solving: Addition pp OA.1 2.OA.A.1 Lesson 12 Add More than Two Numbers pp NBT.6 2.NBT.B.6 Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. Use addition and subtraction within 100 to solve one and two step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. Add up to four two digit numbers using strategies based on place value and properties of operations Digit Subtraction 5.1 Algebra: Break Apart Ones to Subtract pp Algebra: Break Apart Numbers to Subtract pp Lesson 11 Subtract Two Digit Numbers pp NBT.5 2.NBT.B.5 Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. Copyright William H. Sadlier, Inc. All rights reserved. 5

6 5. 2 Digit Subtraction 5.3 Model and Regrouping for Subtraction pp Model and Record 2 Digit Subtraction pp Digit Subtraction pp Practice 2 Digit Subtraction pp Rewrite 2 Digit Subtraction pp Add to Find Differences pp Problem Solving: Subtraction pp Algebra: Write Equations to Represent Subtraction pp Solve Multistep Problems pp Lesson 11 Subtract Two Digit Numbers pp NBT.5 2.NBT.B.5 Lesson 11 Subtract Two Digit Numbers pp NBT.9 2.NBT.B.9 Lesson 2 Problem Solving: Subtraction pp OA.1 2.OA.A.1 Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. Explain why addition and subtraction strategies work, using place value and the properties of operations. Use addition and subtraction within 100 to solve one and two step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem Digit Addition and Subtraction Digit Addition and Subtraction pp Break Apart 3 Digit Addends pp Digit Addition: Regroup Ones pp Digit Addition: Regroup Tens pp Addition: Regroup Ones and Tens pp Problem Solving: 3 Digit Subtraction pp Digit Subtraction: Regroup Tens pp Lesson 13 Add Three Digit Numbers within 1,000 pp Lesson 14 Subtract Three Digit Numbers within 1,000 pp NBT.7 2.NBT.B.7 Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting threedigit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds Digit Subtraction: Regroup Hundreds pp Subtraction: Regroup Hundreds and Tens pp Copyright William H. Sadlier, Inc. All rights reserved. 6

7 6. 3 Digit Addition and Subtraction 6.10 Regrouping with Zeros pp Money and Time 7.1 Dimes, Nickels, and Pennies pp Quarters pp Count Collections pp Hands On: Show Amounts in Two Ways pp One Dollar pp Amounts Greater Than $1 pp Problem Solving: Money pp Time to the Hour and Half Hour pp Time to 5 Minutes pp Practice Telling Time pp A.M and P.M pp Lesson 24 Money pp MD.8 2.MD.C.8 Lesson 23 Tell and Write Time pp MD.7 2.MD.C.7 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have? Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m. 8. Length in Customary Units 8.1 Hands On: Measure with Inch Models pp Hands On: Make and Use a Ruler pp Lesson 16 Measure Length: Inches and Feet pp Lesson 17 Measure Length: Centimeters and Meters pp MD.1 2.MD.A.1 Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. 8.3 Estimate Lengths in Inches pp Lesson 19 Estimate Length pp MD.3 2.MD.A.3 Estimate lengths using units of inches, feet, centimeters, and meters. Copyright William H. Sadlier, Inc. All rights reserved. 7

8 8. Length in Customary Units 8.4 Hands On: Measure with an Inch Ruler pp pp Lesson 16 Measure Length: Inches and Feet pp Lesson 17 Measure Length: Centimeters and Meters pp MD.1 2.MD.A.1 Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. 8.5 Problem Solving: Add and Subtract in Inches pp Lesson 21 Add and Subtract Lengths pp MD.5 2.MD.B.5 Lesson 22 Number Line Diagrams pp MD.6 2.MD.B.6 Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem. Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2,..., and represent whole number sums and differences within 100 on a number line diagram. 8.6 Hands On: Measure in Inches and Feet pp Lesson 18 Use Different Units to Measure Length pp MD.2 2.MD.A.2 Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen. 8.7 Estimate Lengths in Feet pp Lesson 19 Estimate Length pp MD.3 2.MD.A.3 Estimate lengths using units of inches, feet, centimeters, and meters. 8.8 Choose a Tool pp Lesson 16 Measure Length: Inches and Feet pp Lesson 17 Measure Length: Centimeters and Meters pp MD.1 2.MD.A.1 Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. 8.9 Display Measurement Data pp Lesson 25 Line Plots pp MD.9 2.MD.D.9 Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of continued on next page Copyright William H. Sadlier, Inc. All rights reserved. 8

9 8. Length in Customary Units continued from previous page the same object. Show the measurements by making a line plot, where the horizontal scale is marked off in whole number units. 9. Length in Metric Units 9.1 Hands On: Measurement with a Centimeter Model pp Lesson 16 Measure Length: Inches and Feet pp Lesson 17 Measure Length: Centimeters and Meters pp MD.1 2.MD.A.1 Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. 9.2 Estimate Lenghts in Centimeters pp Lesson 19 Estimate Length pp MD.3 2.MD.A.3 Estimate lengths using units of inches, feet, centimeters, and meters. 9.3 Hands On: Measure with a Centimeter Ruler pp Lesson 16 Measure Length: Inches and Feet pp Lesson 17 Measure Length: Centimeters and Meters pp MD.1 2.MD.A.1 Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. 9.4 Add and Subtract Lengths pp Lesson 21 Add and Subtract Lengths pp MD.5 2.MD.B.5 Lesson 22 Number Line Diagrams pp MD.6 2.MD.B.6 Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem. Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2,..., and represent whole number sums and differences within 100 on a number line diagram. Copyright William H. Sadlier, Inc. All rights reserved. 9

10 9. Length in Metric Units 9.5 Hands On: Centimeters and Meters pp Lesson 18 Use Different Units to Measure Length pp MD.2 2.MD.A.2 Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen. 9.6 Estimate Lengths in Meters pp Lesson 19 Estimate Length pp MD.3 2.MD.A.3 Estimate lengths using units of inches, feet, centimeters, and meters. 9.7 Hands On: Measure and Compare Lengths pp Lesson 20 Compare Lengths pp MD.4 2.MD.A.4 Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit. 10. Data 10.1 Collect Data pp Read Picture Graphs pp Make Picture Graphs pp Read Bar Graphs pp Lesson 26 Picture Graphs pp Lesson 27 Bar Graphs pp MD.10 2.MD.D.10 Draw a picture graph and a bar graph (with single unit scale) to represent a data set with up to four categories. Solve simple put together, take apart, and compare problems using information presented in a bar graph Make Bar Graphs pp Problem Solving: Display Data pp Copyright William H. Sadlier, Inc. All rights reserved. 10

11 11. Geometry and Fraction Concepts 11.1 Three Dimensional Shapes pp Attributes of Three Dimensional Shapes pp Two Dimensional Shapes pp Angles in Two Dimensional Shapes pp Sort Two Dimensional Shapes pp Lesson 28 Identify and Draw Shapes pp G.1 2.G.A.1 Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces.5 Identify triangles, quadrilaterals, pentagons, hexagons, and cubes. 5 Sizes are compared directly or visually, not compared by measuring Hands On: Partition Rectangles pp Lesson 29 Partition Rectangles into Same Size pp G.2 2.G.A.2 Partition a rectangle into rows and columns of same size squares and count to find the total number of them Equal Parts pp Show Equal Parts of a Whole pp Describe Equal Parts pp Problem Solving: Equal Shares pp Lesson 30 Equal Shares pp G.3 2.G.A.3 Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape. Copyright William H. Sadlier, Inc. All rights reserved. 11